a. Use synthetic division and the factor theorem to determine if [ x − ( 2 + 5 i ) ] is a factor of f ( x ) = x 2 − 4 x + 29 . b. Use synthetic division and the factor theorem to determine if [ x − ( 2 − 5 i ) ] is a factor of f ( x ) = x 2 − 4 x + 29 . c. Use the quadratic formula to solve the equation. x 2 − 4 x + 29 = 0 d. Find the zeros of the polynomial f ( x ) = x 2 − 4 x + 29 .
a. Use synthetic division and the factor theorem to determine if [ x − ( 2 + 5 i ) ] is a factor of f ( x ) = x 2 − 4 x + 29 . b. Use synthetic division and the factor theorem to determine if [ x − ( 2 − 5 i ) ] is a factor of f ( x ) = x 2 − 4 x + 29 . c. Use the quadratic formula to solve the equation. x 2 − 4 x + 29 = 0 d. Find the zeros of the polynomial f ( x ) = x 2 − 4 x + 29 .
Solution Summary: The author explains how to determine the factor of f(x) using synthetic division and factor theorem.
a. Use synthetic division and the factor theorem to determine if
[
x
−
(
2
+
5
i
)
]
is a factor of
f
(
x
)
=
x
2
−
4
x
+
29
.
b. Use synthetic division and the factor theorem to determine if
[
x
−
(
2
−
5
i
)
]
is a factor of
f
(
x
)
=
x
2
−
4
x
+
29
.
c. Use the quadratic formula to solve the equation.
x
2
−
4
x
+
29
=
0
d. Find the zeros of the polynomial
f
(
x
)
=
x
2
−
4
x
+
29
.
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
Suppose you flip a fair two-sided coin four times and record the result.
a). List the sample space of this experiment. That is, list all possible outcomes that could
occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are
Heads (H) and Tails (T).
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